The length of a rectangular garden is 2 m greater than the width. The area is 80 m^2. Find the dimensions of the garden.

The width of the garden is ___m.
The length of the garden is ___m.

Answers

Answer 1

Answer:

Length of rectangle = 10 mWidth of the Rectangle = 8 m

Step-by-step explanation:

Given :-

Length of a Rectangular garden is 2m greater than the width .Area of garden = 80 m²

To Find :-

Dimensions of the garden

Solution :-

Let's assume:

Width of the rectangle = xLength of the rectangle = x + 2

We know that,

Area of rectangle = Length × Width

↠ (x)(x + 2) = 80

↠ x² + 2x - 80 = 0

↠ x² + 2x - 80 = 0

↠ x² + 10x - 8x - 80 = 0

↠ x(x +10) -8 (x + 10) = 0

↠ (x-8) (x + 10) = 0

↠ x = 8 or -10

↠ x = 8

Hence,

Width of the rectangle = x = 8 mLength of the rectangle = x + 2 = 10 m
Answer 2

Answer:

Given:-

Length of rectangular garden is 2m longer than its widthArea of Rectangular garden is 80m²

To Find :-

Dimensions of Rectangular garden

Solution:-

Let the width be x and length be x + 2

According to the question ,

Area = 80m²

putting the known values ,

(X)(X+2) = 80m

x² +2x - 80= 0

x² +10x-8x -80m= 0

x(x + 10) - 8(x+10) = 0

(x-8) = 0 ; (x+10) = 0

X = 8 ; X = -10

As dimensions can not be negative so , X = 8

Length = X + 2 ; 10 m

Width = X ; 8 m


Related Questions

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

530 m²

Step-by-step explanation:

First of all we need to label the missing sides ,please check the figure I provided for that :

x = 37 - (10+ 15) = 37 - 25 = 12

z = 10

y = 2 × 10 = 20

The shade does area = area of the whole rectangle − the white area

                                    = 37 × 20 − [ (15×20)÷2 + (10×12)÷2 ]

                                    =  740      − [    150        +      60       ]

                                    = 740.      −               210

                                    = 530

Pls help! It's almost due soon!

Answers

Answer: Reflection across the y-axis

Step-by-step explanation:

A reflection over a y-axis means that the original point (x, y) becomes (-x, y)

The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).

(2, 1) is the reflected point hence it is a reflection across the y-axis

Write the equation of the parabola in standard form.
Calculation Tip: Multiply out the squared term and distribute.
y=3(x-1)^2+2

Answers

I don’t know if that’s what you wanted but I hope I helped ;D (sorry for my bad english)

The notation arcsinx represents the inverse sine function.
• A. True

B. False

Answers

Answer: False

Step-by-step explanation:

The lower case letter denotes a relation, not a function

Which describes the system of equations below?

3x + 2y = –2
6x + 4y = 15

Answers

Answer: No solution

Step-by-step explanation:

       These two equations have parallel slopes and therefore no solution.

-> See attached for graph. Since there is no point of intersection, there is no solution.

Help help help help help help

Answers

Answer:

173 degrees

Step-by-step explanation:

we know AED + AEB + BEC + CED = 360

AEB = 112

to find BEC, we have B + BCE + BEC = 180 because they form a triangle. so BEC = 180 - B - BCE = 180 - 73 - 79 = 28

to find CED, follow the same steps as BEC: 180 - 37 - 96 = 47

now AED = 360 - AEB - BEC - CED = 360 - 112 -  28 - 47 = 173

Find f(2) if f(x) = 3x3 - 12x2

ANSWER CHOICES IN PICTURE

please show how you got answer:)

i will give brainliest!

Answers

F(2) is same thing as saying x =2
So just plug in 2 for x and solve for x

3*(2)^3 - 12*(2)^2 =

3*8 - 12*4 =
24-48 =
-24

D

SOMEONE PLEASE HELP!!! ​HURRY

Answers

Answer:

Slope of the line DV = -1

Step-by-step explanation:

Let point D (-5, 1) be [tex](x_{1}, y_{1})[/tex]

Let point V (-1, -3) be [tex](x_{2}, y_{2})[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the appropriate values,

[tex]m = \frac{-3-1}{-1-(-5)} = \frac{-4}{4} = -1[/tex]

slope equals -1

The value of x is -1/4. Order these expressions from least to greatest:
x, -1 divided by x, 1-x, x-1

Answers

Step-by-step explanation:

There two solutions. X can be zero cause anything divided by zero is undefined.

When dealing with positive numbers:

[tex]least \: to \: greatest \: for \: \: x \geqslant 1[/tex]

[tex] - \frac{1}{x} < \: \: 1 - x \: < \: \: x - 1 \: \: < x[/tex]

When dealing with negative numbers:

[tex]least \: to \: greatest \: for \: \: x < 0[/tex]

[tex] - x \: < x - 1 \: < - \frac{1}{x} \: < 1 - x[/tex]

You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school measured in
minutes, is modeled using the function g(x) = x - 3x + 4x - 5, where x is the number of stops the bus makes. If the bus makes 2 stops after you board, how
long does it take you to get to school?

AA. 1 minute
B. 3 minutes
C. 7 minutes
D. 11 minutes

Answers

Answer:

-1

Step-by-step explanation:

g(2) = (2) - 3(2) + 4(2) - 5

g(2) = 2 - 6 + 8 - 5

g(2) = 2 - 6 + 3

g(2) = 2 - 3

g(2) = -1

can someone help me with this asap (algerbra)

Answers

PEMDAS

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.

First, divide 3 from both sides of the equation:

[tex]\frac{(3x^2)}{3} = \frac{(48)}{3}[/tex]

[tex]x^{2} = \frac{48}{3}\\ \\x^2 = 16[/tex]

Next, isolate the variable, x, by rooting both sides of the equation:

[tex]\sqrt{x^{2} } = \sqrt{16}\\ x = \sqrt{16} = \sqrt{4 * 4}[/tex]

x = ±4

C) ±4 is your answer.

~

Solve the inequality for x

Answers

Answer:

answer recent question of my pr.ofil.e

Answer:

x ≥ -1

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

Solve for x-1 ≤ 5x + 4       => subtract 4 from both sides
-1 - 4 ≤ 5x-5 ≤ 5x            => divide both sides by 5
-5/5 ≤ 5x/5-1 ≤ x

The inequality is true for all values of x greater than or equal to -1.

can you guys give me a serious answer please?

Answers

Answer:

800 bacteria

Step-by-step explanation:

Answer of this question depend upon number of hours at the end of day

Let Take Full Day of 24 hrs

Colby bacteria will doubled 12 times ( doubled once in 2hrs => 24/2 = 12)

Colby bacteria at end of day = 50 * 2¹²

Jaquan bacteria will doubled 8 times ( doubled once in 3hrs => 24/3 = 8)

Let say Jaquan bacteria at start  of Day = J

Jaquan bacteria at end of day = J * 2⁸

Equating Both

J * 2⁸ = 50 * 2¹²

=> J = 50 * 2⁴

=> J = 50 * 16

=> J = 800

Jaquan will start  with 800 Bacteria

2/7 divided by 3/8 its for math class and I need the answer quick

Answers

Answer: 0.7619

Explanation: I used a calculator to get the answer, I’m extremely sorry if this is incorrect!
2/7 ÷ 3/8 = 16/21 How did we solve the problem above? When we divide two fractions, such as 2/7 ÷ 3/8, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Evaluate the expression 62 + x-x2 for x=3

Answers

Answer:

56

Step by step explanation:

[tex]62+x-x^2\\\\\text{When x = 3}\\\\62+3 -3^2 = 62+3-9 = 65-9 = 56[/tex]

[tex]Help\: plssss[/tex]
[tex]-38x+43=-40x-57[/tex]

Answers

Answer:

x=-50

Step-by-step explanation:

I used the method of balancing equations:

Add -40x to both sides

-38x+43 + 40x = -40x-57+40x

Simplify:

2x+43 = -57

Subtract 43 from both sides:

2x+43 -43 = -57 -43

Simplify:

2x =  -100

Solve for x

2x÷2 = -100÷2

x = -50

Hope this helped and brainliest please

Answer:

Solution of equation ( x ) = -50

Step-by-step explanation:

In this question we have given an equation that is -38x + 43 = -40x - 57 . And we have to find the solution of this question that means we have to find the value of x .

So let's start our Solution : -

[tex] \hookrightarrow \: -38x+43=-40x-57 [/tex]

Step 1 : Subtracting 43 on both sides :

[tex] \hookrightarrow \: \: - 38x + \cancel{43} - \cancel{43 }= - 40x - 57 - 43[/tex]

On calculating further , We get :

[tex] \hookrightarrow \: - 38x = - 40x - 100[/tex]

Step 2 : Adding 40x on both sides :

[tex] \hookrightarrow \: - 38x + 40x = - \cancel{40x} - 100 + \cancel{40x}[/tex]

On calculating further , We get :

[tex] \hookrightarrow \:2x = - 100[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \hookrightarrow \: \frac{ \cancel{2}x}{ \cancel{2} } = \cancel \frac{ - 100}{2} [/tex]

On calculating further , We get :

[tex] \hookrightarrow \: \purple{\boxed{\frak{x = - 50}}}[/tex]

Henceforth , value of x is -50 .

Verifying : -

Now we're verifying our answer by substituting value of x in given equation . So ,

-38x + 43 = -40x - 57

-38 ( -50 ) + 43 = -40 ( -50 ) - 57

1900 + 43 = 2000 - 57

1943 = 1943

L.H.S = R.H.S

Hence, Verified.

Therefore , our solution is valid .

#Keep Learning

Mr. DeSiena wants to rent a car from Sierra Autos. Mr. DeSiena has drawn the graph of the line to help him figure out how much it will cost him to drive different distances. On the graph of the line, x represents the number of miles a car is driven, and y represents the charge for driving that many miles. If Mr. DeSiena has budgeted $150 to pay for his car rental, what is the maximum number of miles that he can afford to drive?

A.50 miles
B.75 miles
C.100 miles
D.200 miles

plssss i need the answer quick!!

Answers

the answer is c 100 miles

Answer:

WFF

Step-by-step explanation:

savoy..it's me Wolfie it's been so long, I really hope you remember me...

Kerri planted 36 sunflower seeds in equal rows. Which could NOT be a way Kerri arranged the seeds?

HELP I ONLY HAVE 1 DAY (TOMORROW)

Answers

Answer:

Give options :/

Step-by-step explanation:

What is the quotient? startfraction 2 m 4 over 8 endfraction divided by startfraction m 2 over 6 endfraction

Answers

The Quotients of the given expression (2m + 4) / 8 divided by (m + 2)/6 would be 3/2.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

Dividend ÷ Divisor = Quotients

(2m + 4) / 8 divided by (m + 2)/6

= (2m + 4) / 8 ÷ (m + 2)/6

= (2m + 4)/8 x (6 / (m + 2) )

= (m + 2)/4 x 6/(m + 2)

= 6/4

= 3/2

Thus, the quotients will be 3/2.

Learn more about Quotients;

https://brainly.com/question/730603

A tree is 30 feet tall. You measure the angle of elevation from the ground where you are

standing to the top of the tree and get 50 degrees. How far away from the tree are you?

Answers

Step-by-step explanation:

given :

h = 50 ft

the angle if elevation , a = 50°

find :

the distance , d =?

the answer:

tan a = h/d

d = h /tan a

= 50/ tan 50°

= 50 / 1,19

= 42,02 ft

Let's see

tan50=Perpendicular/Basetan50=30/BaseBase=30/tan50Base=25.17ft

CAN ANYONE HELP? ILL GIVE BRAINLIEST

Answers

Answer:

Odd: f(-x) = -f(x)

Step-by-step explanation:

Odd: f(-x) = -f(x)

f(-1) = 5

-(f(1)) = 5

Please help me out it'd be apprieciated

Answers

Answer:

d

Step-by-step explanation:

I got it right on the test

What is the quotient?
53
о
0 0

Answers

Step-by-step explanation:

quotient is a result of the number

divided by a number

and if u want to divided with zero so division are not exis

note

can't divided by 0

the height of a lamp is 100 centimeters. how tall is the lamp in inches?

Answers

Answer:

39.37 in

Step-by-step explanation:

Darius wants to create a large mural to cover part of his wall. He drew a sketch of his design to
determine the amount of canvas he needs. The area of the design was 0.4 square feet. If the
actual mural will have dimensions 6 times that of the design, how many square feet of canvas
will Darius need?

Answers

Model mural::

L*W = 0.3 sq. ft

--------------

Actual mural::

(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.

how do u find law of conservation

Answers

Answer:

the total mass of the products is equal to the total mass of the reactants

Step-by-step explanation:

The sum of the relative formula masses of the reactants is equal to the sum of the relative formula masses of the products.

PLS HELP ME ILL GIVE YOU BRAINIEST!!

Answers

Answer: 60

Explain: (base times height) to find the Area then u multiply it by 5
Area =l*w*h
= 12 cm^2
The area * 5 = 60 cm ^2
Final answer 60 cm ^2

The radius of a circle is 3 inches. What is the circle’s area

Answers

Answer:

a= 28.27

Step-by-step explanation:

[tex]a=\pi r^2[/tex]

[tex]a=\pi 3^2\\a=28.27[/tex]

Please help! Also real quick you can only put 3 digits!!

Answers

Answer:

Can you help me............. In my question

help me please 15 points

Answers

Answer:

I'(-4, -3)     J'(-4, -2)

K'(-2, -2)     L'(0, -4)    

Step-by-step explanation:

[tex]I(0,-3)\rightarrow I'(0-4,-3)\rightarrow I'(-4,-3)\\ J(0,-2)\rightarrow J'(0-4,-2)\rightarrow J'(-4,-2)\\ k(2,-2)\rightarrow k'(2-4,-2)\rightarrow k'(-2,-2)\\ L(4,-4)\rightarrow L'(4-4,-4)\rightarrow L'(0,-4)\\ \{Conversion\ principle\}[/tex]

I hope this helps you

:)

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